Verblunsky parameters and linear spectral transformations

DOI10.4310/MAA.2009.v16.n1.a5zbMath1176.42021OpenAlexW2101837566MaRDI QIDQ1043676

J. Blot

Publication date: 9 December 2009

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.maa/1255958152

zbMATH Keywords

orthogonal polynomialsChristoffel transformationUvarov transformationGeronimus transformationVerblunsky parametersquasi-definite Hermitian linear functionals

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (11)

Para-orthogonal polynomials on the unit circle satisfying three term recurrence formulas ⋮ CMV block matrices for symmetric matrix measures on the unit circle ⋮ A new approach to ratio asymptotics for orthogonal polynomials ⋮ Spectral transforms of measures and orthogonal polynomials on regions ⋮ Direct and inverse polynomial perturbations of Hermitian linear functionals ⋮ Christoffel transformation for a matrix of bi-variate measures ⋮ A CMV connection between orthogonal polynomials on the unit circle and the real line ⋮ OPUC, CMV matrices and perturbations of measures supported on the unit circle ⋮ Block Hessenberg matrices and spectral transformations for matrix orthogonal polynomials on the unit circle ⋮ Orthogonal polynomials and quadrature rules on the unit circle associated with perturbations of symmetric measures ⋮ Linear spectral transformation and Laurent polynomials

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